111827020 has 48 divisors (see below), whose sum is σ = 252413280. Its totient is φ = 41462784.

The previous prime is 111827017. The next prime is 111827057. The reversal of 111827020 is 20728111.

It is a junction number, because it is equal to n+sod(n) for n = 111826982 and 111827000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20326 + ... + 25234.

It is an arithmetic number, because the mean of its divisors is an integer number (5258610).

Almost surely, 2^111827020 is an apocalyptic number.

111827020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111827020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126206640).

111827020 is an abundant number, since it is smaller than the sum of its proper divisors (140586260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111827020 is a wasteful number, since it uses less digits than its factorization.

111827020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 111827020 is about 10574.8295494537. The cubic root of 111827020 is about 481.7801663913.

The spelling of 111827020 in words is "one hundred eleven million, eight hundred twenty-seven thousand, twenty".